Subgroups — #16070188

Order 3328.

1954 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13123125	C₂	1	1	yes	maximal, characteristic, complemented
2	#13123115	C₂	1	1	yes	maximal, characteristic, complemented
3	#13122027	C₂	1	1	yes	maximal, characteristic, complemented
4	#13122022	C₂	1	1	yes	maximal, characteristic, complemented
5	#13121997	C₂	1	1	yes	maximal, characteristic, complemented
6	#13121977	C₂	1	1	yes	maximal, characteristic, complemented
7	#13121953	C₂	1	1	yes	maximal, characteristic, complemented
8	#13121747	C₂	1	1	yes	maximal, characteristic, complemented
9	#13121531	C₂	1	1	yes	maximal, characteristic, complemented
10	#13121516	C₂	1	1	yes	maximal, characteristic, complemented
11	#13121456	C₂	1	1	yes	maximal, characteristic, complemented
12	#13121426	C₂	1	1	yes	maximal, characteristic, complemented
13	#13121316	C₂	1	1	yes	maximal, characteristic, complemented
14	#13121232	C₂	1	1	yes	maximal, characteristic, complemented
15	#13121226	C₂	1	1	yes	maximal, characteristic, complemented
16	#13121154	C₂	1	1	yes	maximal, characteristic, complemented
17	#13121074	C₂	1	1	yes	maximal, characteristic, complemented
18	#13121038	C₂	1	1	yes	maximal, characteristic, complemented
19	#13121030	C₂	1	1	yes	maximal, characteristic, complemented
20	#13120362	C₂	1	1	yes	maximal, characteristic, complemented
21	#13120145	C₂	1	1	yes	maximal, characteristic, complemented
22	#13119970	C₂	1	1	yes	maximal, characteristic, complemented
23	#13119970	C₂	1	1	yes	maximal, characteristic, complemented
24	#13119072	C₂	1	1	yes	maximal, characteristic, complemented
25	#13119027	C₂	1	1	yes	maximal, characteristic, complemented
26	#13118952	C₂	1	1	yes	maximal, characteristic, complemented
27	#13118937	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117630	C₂	1	1	yes	maximal, characteristic, complemented
29	#13117603	C₂	1	1	yes	maximal, characteristic, complemented
30	#13117217	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2661	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
35	C₂×#88193	C₂²	1	1	yes	characteristic
36	C₂×#88193	C₂²	1	1	yes	characteristic
37	C₂×#88193	C₂²	1	1	yes	characteristic
38	C₂×#88192	C₂²	1	1	yes	characteristic
39	C₂×#88192	C₂²	1	1	yes	characteristic
40	C₂×#88191	C₂²	1	1	yes	characteristic
41	C₂×#88191	C₂²	1	1	yes	characteristic
42	C₂×#88191	C₂²	1	1	yes	characteristic
43	C₂×#88189	C₂²	1	1	yes	characteristic
44	C₂×#88189	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88152	C₂²	1	1	yes	characteristic
46	C₂×#88152	C₂²	1	1	yes	characteristic
47	C₂×#88140	C₂²	1	1	yes	characteristic
48	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88126	C₂²	1	1	yes	characteristic
50	C₂×#88126	C₂²	1	1	yes	characteristic
51	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#394	C₂²	1	1	yes	characteristic
54	C₁₃×#394	C₂²	1	1	yes	characteristic
55	C₁₃×#394	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#392	C₂²	1	1	yes	characteristic
57	C₁₃×#392	C₂²	1	1	yes	characteristic
58	C₁₃×#392	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
63	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
64	#11718884	C₂²	1	1	yes	characteristic
65	#11718883	C₂²	1	1	yes	characteristic, complemented
66	#11718883	C₂²	1	1	yes	characteristic, complemented
67	#11718883	C₂²	1	1	yes	characteristic, complemented
68	#11718882	C₂²	1	1	yes	characteristic
69	#11718882	C₂²	1	1	yes	characteristic
70	#11718882	C₂²	1	1	yes	characteristic
71	#11718881	C₂²	1	1	yes	characteristic
72	#11718881	C₂²	1	1	yes	characteristic
73	#11718881	C₂²	1	1	yes	characteristic
74	#11718881	C₂²	1	1	yes	characteristic
75	#11718881	C₂²	1	1	yes	characteristic
76	#11718881	C₂²	1	1	yes	characteristic, complemented
77	#11718881	C₂²	1	1	yes	characteristic, complemented
78	#11718873	C₂²	1	1	yes	characteristic
79	#11718872	C₂²	1	1	yes	characteristic
80	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
81	#11718655	C₂²	1	1	yes	characteristic
82	#11718651	C₂²	1	1	yes	characteristic
83	#11718650	C₂²	1	1	yes	characteristic
84	#11718650	C₂²	1	1	yes	characteristic
85	#11718650	C₂²	1	1	yes	characteristic
86	#11718650	C₂²	1	1	yes	characteristic
87	#11718648	C₂²	1	1	yes	characteristic
88	#11718648	C₂²	1	1	yes	characteristic
89	#11718646	C₂²	1	1	yes	characteristic, complemented
90	#11718644	C₂²	1	1	yes	characteristic, complemented
91	#11718643	C₂²	1	1	yes	characteristic, complemented
92	#11718643	C₂²	1	1	yes	characteristic, complemented
93	#11718642	C₂²	1	1	yes	characteristic, complemented
94	#11718642	C₂²	1	1	yes	characteristic, complemented
95	#11718642	C₂²	1	1	yes	characteristic, complemented
96	#11718642	C₂²	1	1	yes	characteristic, complemented
97	#11718639	C₂²	1	1	yes	characteristic, complemented
98	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
99	#11718622	C₂²	1	1	yes	characteristic
100	#11718622	C₂²	1	1	yes	characteristic
101	#11718622	C₂²	1	1	yes	characteristic
102	#11718622	C₂²	1	1	yes	characteristic
103	#11718622	C₂²	1	1	yes	characteristic
104	#11718622	C₂²	1	1	yes	characteristic
105	#11718622	C₂²	1	1	yes	characteristic
106	#11718620	C₂²	1	1	yes	characteristic
107	#11718620	C₂²	1	1	yes	characteristic
108	#11718620	C₂²	1	1	yes	characteristic
109	#11718619	C₂²	1	1	yes	characteristic
110	#11718619	C₂²	1	1	yes	characteristic
111	#11718618	C₂²	1	1	yes	characteristic
112	#11718618	C₂²	1	1	yes	characteristic
113	#11718618	C₂²	1	1	yes	characteristic
114	#11718617	C₂²	1	1	yes	characteristic
115	#11718617	C₂²	1	1	yes	characteristic
116	#11718617	C₂²	1	1	yes	characteristic
117	#11718617	C₂²	1	1	yes	characteristic
118	#11718617	C₂²	1	1	yes	characteristic
119	#11718617	C₂²	1	1	yes	characteristic
120	#11718617	C₂²	1	1	yes	characteristic
121	#11718617	C₂²	1	1	yes	characteristic
122	#11718616	C₂²	1	1	yes	characteristic
123	#11718616	C₂²	1	1	yes	characteristic
124	#11718616	C₂²	1	1	yes	characteristic
125	#11718613	C₂²	1	1	yes	characteristic, complemented
126	#11718613	C₂²	1	1	yes	characteristic, complemented
127	#11718612	C₂²	1	1	yes	characteristic
128	#11718612	C₂²	1	1	yes	characteristic
129	#11718612	C₂²	1	1	yes	characteristic, complemented
130	#11718612	C₂²	1	1	yes	characteristic, complemented
131	#11718612	C₂²	1	1	yes	characteristic, complemented
132	#11718612	C₂²	1	1	yes	characteristic, complemented
133	#11718612	C₂²	1	1	yes	characteristic, complemented
134	#11718612	C₂²	1	1	yes	characteristic, complemented
135	#11718611	C₂²	1	1	yes	characteristic, complemented
136	#11718611	C₂²	1	1	yes	characteristic, complemented
137	#11718611	C₂²	1	1	yes	characteristic, complemented
138	#11718610	C₂²	1	1	yes	characteristic
139	#11718610	C₂²	1	1	yes	characteristic
140	#11718610	C₂²	1	1	yes	characteristic, complemented
141	#11718610	C₂²	1	1	yes	characteristic, complemented
142	#11718609	C₂²	1	1	yes	characteristic
143	#11718609	C₂²	1	1	yes	characteristic
144	#11718609	C₂²	1	1	yes	characteristic, complemented
145	#11718609	C₂²	1	1	yes	characteristic, complemented
146	#11718607	C₂²	1	1	yes	characteristic, complemented
147	#11718607	C₂²	1	1	yes	characteristic, complemented
148	#11718605	C₂²	1	1	yes	characteristic, complemented
149	#11718605	C₂²	1	1	yes	characteristic, complemented
150	#11718604	C₂²	1	1	yes	characteristic
151	#11718604	C₂²	1	1	yes	characteristic, complemented
152	#11718603	C₂²	1	1	yes	characteristic
153	#11718603	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
155	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
156	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
157	C₄×#6103	C₂²	1	1	yes	characteristic
158	C₄×#6103	C₂²	1	1	yes	characteristic
159	#11718594	C₂²	1	1	yes	characteristic, complemented
160	#11718594	C₂²	1	1	yes	characteristic, complemented
161	#11718589	C₂²	1	1	yes	characteristic, complemented
162	#11718589	C₂²	1	1	yes	characteristic, complemented
163	#11718338	C₂²	1	1	yes	characteristic
164	#11718336	C₂²	1	1	yes	characteristic
165	#11718336	C₂²	1	1	yes	characteristic
166	#11718335	C₂²	1	1	yes	characteristic
167	#11718331	C₂²	1	1	yes	characteristic
168	#11718331	C₂²	1	1	yes	characteristic
169	#11718330	C₂²	1	1	yes	characteristic
170	#11718330	C₂²	1	1	yes	characteristic
171	#11718328	C₂²	1	1	yes	characteristic
172	#11718328	C₂²	1	1	yes	characteristic
173	#11718325	C₂²	1	1	yes	characteristic
174	#11718325	C₂²	1	1	yes	characteristic
175	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
176	#11718322	C₂²	1	1	yes	characteristic, complemented
177	#11718322	C₂²	1	1	yes	characteristic, complemented
178	#11718321	C₂²	1	1	yes	characteristic, complemented
179	#11718320	C₂²	1	1	yes	characteristic, complemented
180	#11718318	C₂²	1	1	yes	characteristic, complemented
181	#11718318	C₂²	1	1	yes	characteristic, complemented
182	#11718318	C₂²	1	1	yes	characteristic, complemented
183	#11718316	C₂²	1	1	yes	characteristic, complemented
184	#11718314	C₂²	1	1	yes	characteristic, complemented
185	#11718311	C₂²	1	1	yes	characteristic, complemented
186	#11718308	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
188	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
197	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
199	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
200	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
201	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
202	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
203	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
204	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₁₃	—	2	4	no	—
206	C₂²×C₄×D₁₃	—	4	2	no	—
207	C₂²×C₄×D₁₃	—	4	2	no	—
208	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₁₃×#123	—	2	4	no	—
213	C₁₃×#121	—	2	4	no	—
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	#88193	—	4	2	no	—
258	#88193	—	4	2	no	—
259	#88193	—	4	2	no	—
260	#88192	—	4	2	no	—
261	#88192	—	4	2	no	—
262	#88191	—	4	2	no	—
263	#88191	—	4	2	no	—
264	#88191	—	4	2	no	—
265	#88189	—	4	2	no	—
266	#88189	—	4	2	no	—
267	C₂×#6103	C₂³	1	1	yes	characteristic
268	C₂×#6103	C₂³	1	1	yes	characteristic
269	C₂×#6103	C₂³	1	1	yes	characteristic
270	C₂×#6103	C₂³	1	1	yes	characteristic
271	C₂×#6103	C₂³	1	1	yes	characteristic
272	C₂×#6103	C₂³	1	1	yes	characteristic
273	C₂×#6103	C₂³	1	1	yes	characteristic
274	C₂×#6103	C₂³	1	1	yes	characteristic
275	C₂×#6103	C₂³	1	1	yes	characteristic
276	C₂×#6103	C₂³	1	1	yes	characteristic
277	C₂×#6103	C₂³	1	1	yes	characteristic
278	C₂×#6103	C₂³	1	1	yes	characteristic
279	C₂×#6103	C₂³	1	1	yes	characteristic
280	C₂×#6103	C₂³	1	1	yes	characteristic
281	C₂×#6103	C₂³	1	1	yes	characteristic
282	C₂×#6103	C₂³	1	1	yes	characteristic
283	C₂×#6103	C₂³	1	1	yes	characteristic
284	C₂×#6103	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×#6101	C₂³	1	1	yes	characteristic
297	C₂×#6101	C₂³	1	1	yes	characteristic
298	C₂×#6101	C₂³	1	1	yes	characteristic
299	C₂×#6101	C₂³	1	1	yes	characteristic
300	C₂×#6101	C₂³	1	1	yes	characteristic
301	C₂×#6101	C₂³	1	1	yes	characteristic
302	C₂×#6101	C₂³	1	1	yes	characteristic
303	C₂×#6101	C₂³	1	1	yes	characteristic
304	C₂×#6101	C₂³	1	1	yes	characteristic
305	C₂×#6101	C₂³	1	1	yes	characteristic
306	C₂×#6101	C₂³	1	1	yes	characteristic
307	C₂×#6101	C₂³	1	1	yes	characteristic
308	C₂×#6101	C₂³	1	1	yes	characteristic
309	C₂×#6101	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
317	#88152	—	4	2	no	—
318	#88152	—	4	2	no	—
319	#88140	—	4	2	no	—
320	#88133	—	4	2	no	—
321	#88126	—	4	2	no	—
322	#88126	—	4	2	no	—
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	C₁₃×#95	C₂³	1	1	yes	characteristic
325	C₁₃×#95	C₂³	1	1	yes	characteristic
326	C₁₃×#95	C₂³	1	1	yes	characteristic
327	C₁₃×#95	C₂³	1	1	yes	characteristic
328	C₁₃×#95	C₂³	1	1	yes	characteristic
329	#88071	C₂³	1	1	yes	characteristic
330	#88071	C₂³	1	1	yes	characteristic
331	#88071	C₂³	1	1	yes	characteristic
332	#88071	C₂³	1	1	yes	characteristic
333	#88071	C₂³	1	1	yes	characteristic
334	#88071	C₂³	1	1	yes	characteristic
335	#88071	C₂³	1	1	yes	characteristic
336	#88071	C₂³	1	1	yes	characteristic
337	#88071	C₂³	1	1	yes	characteristic
338	#88071	C₂³	1	1	yes	characteristic
339	#88071	C₂³	1	1	yes	characteristic
340	#88071	C₂³	1	1	yes	characteristic
341	#88071	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#36734	—	13	1	no	maximal, Sylow
364	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂³×D₁₃	—	2	2	no	—
369	C₂³×D₁₃	—	2	2	no	—
370	C₂³×D₁₃	—	2	2	no	—
371	C₂³×D₁₃	—	4	1	no	—
372	C₂³×D₁₃	—	4	1	no	—
373	C₂³×D₁₃	—	4	1	no	—
374	C₂³×D₁₃	—	4	1	no	—
375	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
376	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×D₄×C₁₃	—	2	2	no	—
378	C₂×D₄×C₁₃	—	2	2	no	—
379	C₂×D₄×C₁₃	—	2	2	no	—
380	C₂×D₄×C₁₃	—	2	2	no	—
381	C₂×D₄×C₁₃	—	4	1	no	—
382	C₂×D₄×C₁₃	—	4	1	no	—
383	C₂×D₄×C₁₃	—	4	1	no	—
384	C₂×D₄×C₁₃	—	4	1	no	—
385	C₂×D₄×C₁₃	—	4	1	no	—
386	C₂×D₄×C₁₃	—	4	1	no	—
387	C₂×D₄×C₁₃	—	4	1	no	—
388	C₂×D₄×C₁₃	—	4	1	no	—
389	C₂×D₄×C₁₃	—	4	1	no	—
390	C₂×D₄×C₁₃	—	4	1	no	—
391	C₂×D₄×C₁₃	—	4	1	no	—
392	C₂×D₄×C₁₃	—	4	1	no	—
393	C₂×D₄×C₁₃	—	4	1	no	—
394	C₂×D₄×C₁₃	—	4	1	no	—
395	C₂²×C₄×C₁₃	—	4	1	no	—
396	C₂²×C₄×C₁₃	—	4	1	no	—
397	C₂²×C₄×C₁₃	#41	1	4	yes	—
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂×C₂²⋊D₁₃	—	2	2	no	—
410	C₂×C₂²⋊D₁₃	—	2	2	no	—
411	C₂×C₂²⋊D₁₃	—	2	2	no	—
412	C₂×C₂²⋊D₁₃	—	2	2	no	—
413	C₂×C₂²⋊D₁₃	—	2	2	no	—
414	C₂×C₂²⋊D₁₃	—	2	2	no	—
415	C₂×C₂²⋊D₁₃	—	4	1	no	—
416	C₂×C₂²⋊D₁₃	—	4	1	no	—
417	C₂×C₂²⋊D₁₃	—	4	1	no	—
418	C₂×C₂²⋊D₁₃	—	4	1	no	—
419	C₂×C₂²⋊D₁₃	—	4	1	no	—
420	C₂×C₂²⋊D₁₃	—	4	1	no	—
421	C₂×C₂²⋊D₁₃	—	4	1	no	—
422	C₂×C₂²⋊D₁₃	—	4	1	no	—
423	C₂×C₂²⋊D₁₃	—	4	1	no	—
424	C₂×C₂²⋊D₁₃	—	4	1	no	—
425	C₂×C₂²⋊D₁₃	—	4	1	no	—
426	C₂×C₂²⋊D₁₃	—	4	1	no	—
427	C₂²×Dic₁₃	—	2	2	no	—
428	C₂²×Dic₁₃	—	2	2	no	—
429	C₂²×Dic₁₃	—	4	1	no	—
430	C₂²×Dic₁₃	—	4	1	no	—
431	C₂²×Dic₁₃	—	4	1	no	—
432	C₂²×Dic₁₃	—	4	1	no	—
433	C₂²×Dic₁₃	—	4	1	no	—
434	C₂²×Dic₁₃	—	4	1	no	—
435	C₂²×Dic₁₃	—	4	1	no	—
436	C₂²×Dic₁₃	—	4	1	no	—
437	C₂²×Dic₁₃	—	4	1	no	—
438	C₂²×Dic₁₃	—	4	1	no	—
439	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
453	C₂×C₄×D₁₃	—	2	2	no	—
454	C₂×C₄×D₁₃	—	2	2	no	—
455	C₂×C₄×D₁₃	—	2	2	no	—
456	C₂×C₄×D₁₃	—	2	2	no	—
457	C₂×C₄×D₁₃	—	2	2	no	—
458	C₂×C₄×D₁₃	—	2	2	no	—
459	C₂×C₄×D₁₃	—	2	2	no	—
460	C₂×C₄×D₁₃	—	2	2	no	—
461	C₂×C₄×D₁₃	—	4	16	no	—
462	C₂×C₄×D₁₃	—	4	1	no	—
463	C₂×C₄×D₁₃	—	4	1	no	—
464	C₂×C₄×D₁₃	—	4	1	no	—
465	C₂×C₄×D₁₃	—	4	1	no	—
466	C₁₃×C₄⋊C₄	—	2	2	no	—
467	C₁₃×C₄⋊C₄	—	2	2	no	—
468	C₁₃×C₄⋊C₄	—	2	2	no	—
469	C₁₃×C₄⋊C₄	—	4	1	no	—
470	C₁₃×C₄⋊C₄	—	4	1	no	—
471	C₁₃×C₂²⋊C₄	—	2	2	no	—
472	C₁₃×C₂²⋊C₄	—	2	2	no	—
473	C₁₃×C₂²⋊C₄	—	2	2	no	—
474	C₁₃×C₂²⋊C₄	—	2	2	no	—
475	C₁₃×C₂²⋊C₄	—	2	2	no	—
476	C₁₃×C₂²⋊C₄	—	4	1	no	—
477	C₁₃×C₂²⋊C₄	—	4	1	no	—
478	C₁₃×C₂²⋊C₄	—	4	1	no	—
479	C₁₃×C₂²⋊C₄	—	4	1	no	—
480	C₁₃×C₂²⋊C₄	—	4	1	no	—
481	C₁₃×C₂²⋊C₄	—	4	1	no	—
482	C₁₃×C₂²⋊C₄	—	4	1	no	—
483	C₁₃×C₂²⋊C₄	—	4	1	no	—
484	C₁₃×C₂²⋊C₄	—	4	1	no	—
485	C₁₃×C₂²⋊C₄	—	4	1	no	—
486	C₄²×C₁₃	—	4	1	no	—
487	C₄²×C₁₃	—	4	1	no	—
488	C₂²⋊Dic₁₃	—	2	2	no	—
489	C₂²⋊Dic₁₃	—	2	2	no	—
490	C₂²⋊Dic₁₃	—	2	2	no	—
491	C₂²⋊Dic₁₃	—	4	1	no	—
492	C₂²⋊Dic₁₃	—	4	1	no	—
493	C₂²⋊Dic₁₃	—	4	1	no	—
494	C₂²⋊Dic₁₃	—	4	1	no	—
495	C₂²⋊Dic₁₃	—	4	1	no	—
496	C₂²⋊Dic₁₃	—	4	1	no	—
497	C₂²⋊Dic₁₃	—	4	1	no	—
498	C₂²⋊Dic₁₃	—	4	1	no	—
499	C₂²⋊Dic₁₃	—	4	1	no	—
500	C₂²⋊Dic₁₃	—	4	1	no	—
501	C₂²⋊Dic₁₃	—	4	1	no	—
502	C₂²⋊Dic₁₃	—	4	1	no	—
503	C₂²⋊Dic₁₃	—	4	1	no	—
504	C₂²⋊Dic₁₃	—	4	1	no	—
505	C₂²⋊Dic₁₃	—	4	1	no	—
506	C₂²⋊Dic₁₃	—	4	1	no	—
507	C₂²⋊Dic₁₃	—	4	1	no	—
508	C₂²⋊Dic₁₃	—	4	1	no	—
509	#6103	—	2	2	no	—
510	#6103	—	2	2	no	—
511	#6103	—	2	2	no	—
512	#6103	—	2	2	no	—
513	#6103	—	2	2	no	—
514	#6103	—	2	2	no	—
515	#6103	—	2	2	no	—
516	#6103	—	2	2	no	—
517	#6103	—	4	1	no	—
518	#6103	—	4	1	no	—
519	#6103	—	4	1	no	—
520	#6103	—	4	1	no	—
521	#6103	—	4	1	no	—
522	#6103	—	4	1	no	—
523	#6103	—	4	1	no	—
524	#6103	—	4	1	no	—
525	#6103	—	4	1	no	—
526	#6103	—	4	1	no	—
527	C₄⋊Dic₁₃	—	4	1	no	—
528	C₄⋊Dic₁₃	—	4	1	no	—
529	C₄⋊Dic₁₃	—	4	1	no	—
530	C₄⋊Dic₁₃	—	4	1	no	—
531	C₄⋊Dic₁₃	—	4	1	no	—
532	C₄⋊Dic₁₃	—	4	1	no	—
533	C₄⋊Dic₁₃	—	4	1	no	—
534	C₄⋊Dic₁₃	—	4	1	no	—
535	C₄⋊Dic₁₃	—	4	1	no	—
536	C₄⋊Dic₁₃	—	4	1	no	—
537	C₄⋊Dic₁₃	—	4	1	no	—
538	#6101	—	2	2	no	—
539	#6101	—	2	2	no	—
540	#6101	—	2	2	no	—
541	#6101	—	4	1	no	—
542	#6101	—	4	1	no	—
543	#6101	—	4	1	no	—
544	#6101	—	4	1	no	—
545	#6101	—	4	1	no	—
546	#6101	—	4	1	no	—
547	#6101	—	4	1	no	—
548	#6101	—	4	1	no	—
549	#6101	—	4	1	no	—
550	#6101	—	4	1	no	—
551	#6101	—	4	1	no	—
552	C₄×Dic₁₃	—	4	1	no	—
553	C₄×Dic₁₃	—	4	1	no	—
554	C₄×Dic₁₃	—	4	1	no	—
555	C₄×Dic₁₃	—	4	1	no	—
556	C₄×Dic₁₃	—	4	1	no	—
557	C₄×Dic₁₃	—	4	1	no	—
558	C₄×Dic₁₃	—	4	1	no	—
559	#2849	—	13	1	no	—
560	#2847	—	13	1	no	—
561	#2746	—	13	1	no	—
562	#2746	—	13	1	no	—
563	#2744	—	13	1	no	—
564	#2743	—	13	1	no	—
565	#2741	—	13	1	no	—
566	#2722	—	13	1	no	—
567	#2706	—	13	1	no	—
568	#2705	—	13	1	no	—
569	#2701	—	13	1	no	—
570	#2699	—	13	1	no	—
571	#2691	—	13	1	no	—
572	#2685	—	13	1	no	—
573	#2685	—	13	1	no	—
574	#2678	—	13	1	no	—
575	#2671	—	13	1	no	—
576	#2668	—	13	1	no	—
577	#2667	—	13	1	no	—
578	#2661	D₁₃	1	1	yes	characteristic, complemented
579	#2595	—	13	1	no	—
580	#2576	—	13	1	no	—
581	#2559	—	13	1	no	—
582	#2559	—	13	1	no	—
583	#2479	—	13	1	no	—
584	#2476	—	13	1	no	—
585	#2471	—	13	1	no	—
586	#2470	—	13	1	no	—
587	#2335	—	13	1	no	—
588	#2333	—	13	1	no	—
589	#2280	—	13	1	no	—
590	C₂³×C₁₃	—	2	1	no	—
591	C₂³×C₁₃	—	2	1	no	—
592	C₂³×C₁₃	—	2	1	no	—
593	C₂³×C₁₃	—	2	1	no	—
594	C₂³×C₁₃	—	2	1	no	—
595	C₂³×C₁₃	—	2	1	no	—
596	C₂³×C₁₃	—	2	1	no	—
597	C₂³×C₁₃	—	2	1	no	—
598	C₂³×C₁₃	—	2	1	no	—
599	C₂³×C₁₃	—	2	1	no	—
600	C₂³×C₁₃	—	2	1	no	—
601	C₂³×C₁₃	—	2	1	no	—
602	C₂³×C₁₃	—	2	1	no	—
603	C₂³×C₁₃	—	2	1	no	—
604	C₂³×C₁₃	—	2	1	no	—
605	C₂³×C₁₃	—	2	1	no	—
606	C₂³×C₁₃	—	2	1	no	—
607	C₂³×C₁₃	—	2	1	no	—
608	C₂³×C₁₃	—	2	1	no	—
609	C₂³×C₁₃	—	2	1	no	—
610	C₂³×C₁₃	—	2	1	no	—
611	C₂³×C₁₃	—	2	1	no	—
612	C₂³×C₁₃	—	2	1	no	—
613	C₂³×C₁₃	—	2	1	no	—
614	C₂³×C₁₃	—	2	1	no	—
615	C₂³×C₁₃	—	2	1	no	—
616	C₂³×C₁₃	—	2	1	no	—
617	C₂³×C₁₃	C₂×#41	1	2	yes	—
618	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
619	C₂²×D₁₃	—	2	1	no	—
620	C₂²×D₁₃	—	2	1	no	—
621	C₂²×D₁₃	—	2	1	no	—
622	C₂²×D₁₃	—	2	1	no	—
623	C₂²×D₁₃	—	2	1	no	—
624	C₂²×D₁₃	—	2	1	no	—
625	C₂²×D₁₃	—	2	1	no	—
626	C₂²×D₁₃	—	2	1	no	—
627	C₂²×D₁₃	—	2	1	no	—
628	C₂²×D₁₃	—	2	1	no	—
629	C₂²×D₁₃	—	2	1	no	—
630	C₂²×D₁₃	—	2	1	no	—
631	C₂²×D₁₃	—	4	4	no	—
632	C₂²×D₁₃	—	4	4	no	—
633	C₂²×D₁₃	—	4	4	no	—
634	C₂²×D₁₃	—	4	4	no	—
635	C₂²×D₁₃	—	4	4	no	—
636	C₂²×D₁₃	—	4	4	no	—
637	C₂²×D₁₃	—	4	4	no	—
638	C₂²×D₁₃	H(5,𝔽₂)	1	2	yes	—
639	C₂²×D₁₃	H(5,𝔽₂)	1	2	yes	—
640	D₄×C₁₃	—	8	2	no	—
641	D₄×C₁₃	—	8	2	no	—
642	D₄×C₁₃	—	8	2	no	—
643	D₄×C₁₃	—	8	2	no	—
644	D₄×C₁₃	—	8	2	no	—
645	D₄×C₁₃	—	8	2	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	1	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	2	1	no	—
651	C₂×C₄×C₁₃	—	2	1	no	—
652	C₂×C₄×C₁₃	—	2	1	no	—
653	C₂×C₄×C₁₃	—	2	1	no	—
654	C₂×C₄×C₁₃	—	2	1	no	—
655	C₂×C₄×C₁₃	—	2	1	no	—
656	C₂×C₄×C₁₃	—	2	1	no	—
657	C₂×C₄×C₁₃	—	2	1	no	—
658	C₂×C₄×C₁₃	—	2	1	no	—
659	C₂×C₄×C₁₃	—	2	1	no	—
660	C₂×C₄×C₁₃	—	2	1	no	—
661	C₂×C₄×C₁₃	—	2	1	no	—
662	C₂×C₄×C₁₃	—	2	1	no	—
663	C₂×C₄×C₁₃	—	2	1	no	—
664	C₂×C₄×C₁₃	—	2	1	no	—
665	C₂×C₄×C₁₃	—	2	1	no	—
666	C₂×C₄×C₁₃	—	2	1	no	—
667	C₂×C₄×C₁₃	—	2	1	no	—
668	C₂×C₄×C₁₃	—	2	1	no	—
669	C₂×C₄×C₁₃	—	2	1	no	—
670	C₂×C₄×C₁₃	—	2	1	no	—
671	C₂×C₄×C₁₃	—	2	1	no	—
672	C₂×C₄×C₁₃	—	2	1	no	—
673	C₂×C₄×C₁₃	—	2	1	no	—
674	C₂×C₄×C₁₃	—	2	1	no	—
675	C₂×C₄×C₁₃	—	2	1	no	—
676	C₂×C₄×C₁₃	—	2	1	no	—
677	C₂×C₄×C₁₃	—	4	4	no	—
678	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
679	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
680	C₂²⋊D₁₃	—	8	2	no	—
681	C₂²⋊D₁₃	—	8	2	no	—
682	C₂²⋊D₁₃	—	8	2	no	—
683	C₂²⋊D₁₃	—	8	2	no	—
684	C₂²⋊D₁₃	—	8	2	no	—
685	C₂²⋊D₁₃	—	8	2	no	—
686	C₂×Dic₁₃	—	2	1	no	—
687	C₂×Dic₁₃	—	2	1	no	—
688	C₂×Dic₁₃	—	2	1	no	—
689	C₂×Dic₁₃	—	2	1	no	—
690	C₂×Dic₁₃	—	2	1	no	—
691	C₂×Dic₁₃	—	2	1	no	—
692	C₂×Dic₁₃	—	2	1	no	—
693	C₂×Dic₁₃	—	2	1	no	—
694	C₂×Dic₁₃	—	2	1	no	—
695	C₂×Dic₁₃	—	2	1	no	—
696	C₂×Dic₁₃	—	2	1	no	—
697	C₂×Dic₁₃	—	2	1	no	—
698	C₂×Dic₁₃	—	2	1	no	—
699	C₂×Dic₁₃	—	2	1	no	—
700	C₂×Dic₁₃	—	2	1	no	—
701	C₂×Dic₁₃	—	2	1	no	—
702	C₂×Dic₁₃	—	2	1	no	—
703	C₂×Dic₁₃	—	2	1	no	—
704	C₂×Dic₁₃	—	2	1	no	—
705	C₂×Dic₁₃	—	2	1	no	—
706	C₂×Dic₁₃	—	2	1	no	—
707	C₂×Dic₁₃	—	2	1	no	—
708	C₂×Dic₁₃	—	2	1	no	—
709	C₂×Dic₁₃	—	2	1	no	—
710	C₂×Dic₁₃	—	2	1	no	—
711	C₂×Dic₁₃	—	2	1	no	—
712	C₂×Dic₁₃	—	2	1	no	—
713	C₂×Dic₁₃	—	2	1	no	—
714	C₂×Dic₁₃	—	2	1	no	—
715	C₂×Dic₁₃	—	2	1	no	—
716	C₂×Dic₁₃	—	2	1	no	—
717	C₂×Dic₁₃	—	2	1	no	—
718	C₂×Dic₁₃	—	2	1	no	—
719	C₂×Dic₁₃	—	2	1	no	—
720	C₂×Dic₁₃	—	2	1	no	—
721	C₂×Dic₁₃	—	2	1	no	—
722	C₂×Dic₁₃	—	2	1	no	—
723	C₂×Dic₁₃	—	2	1	no	—
724	C₂×Dic₁₃	—	2	1	no	—
725	C₂×Dic₁₃	—	2	1	no	—
726	C₂×Dic₁₃	—	2	1	no	—
727	C₂×Dic₁₃	—	4	4	no	—
728	C₂×Dic₁₃	—	8	2	no	—
729	C₂×Dic₁₃	—	8	2	no	—
730	C₂×Dic₁₃	—	8	2	no	—
731	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
732	C₄×D₁₃	—	2	8	no	—
733	C₄×D₁₃	—	4	4	no	—
734	C₄×D₁₃	—	4	4	no	—
735	C₄×D₁₃	—	4	4	no	—
736	C₂⁴×C₄	—	13	1	no	—
737	C₂×#126	—	13	1	no	—
738	C₂×#126	—	13	1	no	—
739	C₂×#126	—	13	1	no	—
740	C₂×#123	—	13	1	no	—
741	C₂×#123	—	13	1	no	—
742	C₂×#123	—	13	1	no	—
743	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
744	C₂×#121	—	13	1	no	—
745	C₂×#121	—	13	1	no	—
746	C₂×#121	—	13	1	no	—
747	C₂×#121	—	13	1	no	—
748	C₂×#121	—	13	1	no	—
749	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
750	C₂×#120	—	13	1	no	—
751	C₂×#120	—	13	1	no	—
752	C₂×#120	—	13	1	no	—
753	C₂×#117	—	13	1	no	—
754	C₂×#117	—	13	1	no	—
755	#401	—	13	1	no	—
756	#400	—	13	1	no	—
757	#400	—	13	1	no	—
758	#400	—	13	1	no	—
759	#400	—	13	1	no	—
760	#399	—	13	1	no	—
761	#399	—	13	1	no	—
762	#399	—	13	1	no	—
763	#399	—	13	1	no	—
764	#399	—	13	1	no	—
765	#398	—	13	1	no	—
766	#398	—	13	1	no	—
767	#398	—	13	1	no	—
768	#398	—	13	1	no	—
769	#398	—	13	1	no	—
770	#398	—	13	1	no	—
771	#398	C₂×D₁₃	1	1	yes	characteristic, complemented
772	#397	—	13	1	no	—
773	#397	—	13	1	no	—
774	#397	—	13	1	no	—
775	#397	—	13	1	no	—
776	#397	—	13	1	no	—
777	#397	C₂×D₁₃	1	1	yes	characteristic, complemented
778	#396	—	13	1	no	—
779	#396	—	13	1	no	—
780	#396	—	13	1	no	—
781	#396	—	13	1	no	—
782	#396	—	13	1	no	—
783	#394	—	13	1	no	—
784	#394	—	13	1	no	—
785	#394	—	13	1	no	—
786	#394	—	13	1	no	—
787	#394	—	13	1	no	—
788	#394	—	13	1	no	—
789	#394	—	13	1	no	—
790	#394	—	13	1	no	—
791	#394	—	13	1	no	—
792	#394	—	13	1	no	—
793	#394	—	13	1	no	—
794	#394	—	13	1	no	—
795	#394	—	13	1	no	—
796	#394	C₂×D₁₃	1	1	yes	characteristic
797	#394	C₂×D₁₃	1	1	yes	characteristic
798	#394	C₂×D₁₃	1	1	yes	characteristic, complemented
799	#392	—	13	1	no	—
800	#392	C₂×D₁₃	1	1	yes	characteristic
801	#392	C₂×D₁₃	1	1	yes	characteristic
802	#392	C₂×D₁₃	1	1	yes	characteristic, complemented
803	#390	—	13	1	no	—
804	#390	—	13	1	no	—
805	#390	—	13	1	no	—
806	#390	—	13	1	no	—
807	#390	—	13	1	no	—
808	#390	—	13	1	no	—
809	#390	C₂×D₁₃	1	1	yes	characteristic, complemented
810	#390	C₂×D₁₃	1	1	yes	characteristic, complemented
811	#389	—	13	1	no	—
812	#389	—	13	1	no	—
813	#389	—	13	1	no	—
814	#389	—	13	1	no	—
815	#388	—	13	1	no	—
816	#388	—	13	1	no	—
817	#388	—	13	1	no	—
818	#388	—	13	1	no	—
819	#388	—	13	1	no	—
820	#388	—	13	1	no	—
821	#388	—	13	1	no	—
822	#388	—	13	1	no	—
823	#388	—	13	1	no	—
824	#388	—	13	1	no	—
825	#388	—	13	1	no	—
826	#388	—	13	1	no	—
827	#388	—	13	1	no	—
828	#388	—	13	1	no	—
829	#388	—	13	1	no	—
830	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
831	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
832	#387	—	13	1	no	—
833	#387	—	13	1	no	—
834	#387	—	13	1	no	—
835	#387	—	13	1	no	—
836	#387	—	13	1	no	—
837	#387	—	13	1	no	—
838	#387	—	13	1	no	—
839	#387	—	13	1	no	—
840	#387	—	13	1	no	—
841	#386	—	13	1	no	—
842	#386	—	13	1	no	—
843	#386	—	13	1	no	—
844	#386	—	13	1	no	—
845	#386	—	13	1	no	—
846	#386	—	13	1	no	—
847	#386	—	13	1	no	—
848	#386	—	13	1	no	—
849	#386	—	13	1	no	—
850	#386	—	13	1	no	—
851	#386	—	13	1	no	—
852	#386	—	13	1	no	—
853	#386	—	13	1	no	—
854	#386	—	13	1	no	—
855	#386	—	13	1	no	—
856	#386	—	13	1	no	—
857	#386	—	13	1	no	—
858	#385	—	13	1	no	—
859	#385	—	13	1	no	—
860	#385	—	13	1	no	—
861	#385	—	13	1	no	—
862	#385	—	13	1	no	—
863	#385	—	13	1	no	—
864	#385	—	13	1	no	—
865	#385	—	13	1	no	—
866	#385	—	13	1	no	—
867	#382	—	13	1	no	—
868	#381	—	13	1	no	—
869	#381	—	13	1	no	—
870	#381	—	13	1	no	—
871	#381	—	13	1	no	—
872	#381	—	13	1	no	—
873	#380	—	13	1	no	—
874	#380	—	13	1	no	—
875	#380	—	13	1	no	—
876	#380	—	13	1	no	—
877	#380	—	13	1	no	—
878	#380	—	13	1	no	—
879	#380	—	13	1	no	—
880	#379	—	13	1	no	—
881	#379	—	13	1	no	—
882	#379	—	13	1	no	—
883	C₄×C₄⋊C₄	—	13	1	no	—
884	C₄×C₂²⋊C₄	—	13	1	no	—
885	C₄×C₂²⋊C₄	—	13	1	no	—
886	C₄×C₂²⋊C₄	—	13	1	no	—
887	C₄×C₂²⋊C₄	—	13	1	no	—
888	C₄×C₂²⋊C₄	—	13	1	no	—
889	C₄×C₂²⋊C₄	—	13	1	no	—
890	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
891	C₂²×C₁₃	—	2	2	no	—
892	C₂²×C₁₃	—	2	2	no	—
893	C₂²×C₁₃	—	2	2	no	—
894	C₂²×C₁₃	—	4	1	no	—
895	C₂²×C₁₃	—	4	1	no	—
896	C₂²×C₁₃	—	4	1	no	—
897	C₂²×C₁₃	—	4	1	no	—
898	C₂²×C₁₃	—	4	1	no	—
899	C₂²×C₁₃	—	4	1	no	—
900	C₂²×C₁₃	—	4	1	no	—
901	C₂²×C₁₃	—	4	1	no	—
902	C₂²×C₁₃	—	4	1	no	—
903	C₂²×C₁₃	—	4	1	no	—
904	C₂²×C₁₃	—	4	1	no	—
905	C₂²×C₁₃	—	4	1	no	—
906	C₂²×C₁₃	—	4	1	no	—
907	C₂²×C₁₃	—	4	1	no	—
908	C₂²×C₁₃	—	4	1	no	—
909	C₂²×C₁₃	—	4	1	no	—
910	C₂²×C₁₃	—	4	1	no	—
911	C₂²×C₁₃	—	4	1	no	—
912	C₂²×C₁₃	—	4	1	no	—
913	C₂²×C₁₃	—	4	1	no	—
914	C₂²×C₁₃	—	4	1	no	—
915	C₂²×C₁₃	—	4	1	no	—
916	C₂²×C₁₃	—	4	1	no	—
917	C₂²×C₁₃	—	4	1	no	—
918	C₂²×C₁₃	—	4	1	no	—
919	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
920	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
921	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
922	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
923	C₂²×C₁₃	#585	1	1	yes	characteristic
924	C₂²×C₁₃	#585	1	1	yes	characteristic
925	C₂²×C₁₃	#585	1	1	yes	characteristic
926	C₂×D₁₃	—	2	2	no	—
927	C₂×D₁₃	—	2	2	no	—
928	C₂×D₁₃	—	2	2	no	—
929	C₂×D₁₃	—	2	2	no	—
930	C₂×D₁₃	—	2	2	no	—
931	C₂×D₁₃	—	2	2	no	—
932	C₂×D₁₃	—	4	16	no	—
933	C₂×D₁₃	—	4	1	no	—
934	C₂×D₁₃	—	4	1	no	—
935	C₂×D₁₃	—	4	1	no	—
936	C₂×D₁₃	—	4	1	no	—
937	C₂×D₁₃	—	4	1	no	—
938	C₂×D₁₃	—	4	1	no	—
939	C₂×D₁₃	—	4	1	no	—
940	C₂×D₁₃	—	4	1	no	—
941	C₄×C₁₃	—	2	2	no	—
942	C₄×C₁₃	—	2	2	no	—
943	C₄×C₁₃	—	4	1	no	—
944	C₄×C₁₃	—	4	1	no	—
945	C₄×C₁₃	—	4	1	no	—
946	C₄×C₁₃	—	4	1	no	—
947	C₄×C₁₃	—	4	1	no	—
948	C₄×C₁₃	—	4	1	no	—
949	C₄×C₁₃	—	4	1	no	—
950	C₄×C₁₃	—	4	1	no	—
951	C₄×C₁₃	—	4	1	no	—
952	Dic₁₃	—	2	2	no	—
953	Dic₁₃	—	4	1	no	—
954	Dic₁₃	—	4	1	no	—
955	Dic₁₃	—	4	1	no	—
956	Dic₁₃	—	4	1	no	—
957	Dic₁₃	—	4	1	no	—
958	Dic₁₃	—	4	1	no	—
959	Dic₁₃	—	4	1	no	—
960	Dic₁₃	—	4	1	no	—
961	Dic₁₃	—	4	1	no	—
962	Dic₁₃	—	4	1	no	—
963	Dic₁₃	—	4	1	no	—
964	Dic₁₃	—	4	1	no	—
965	Dic₁₃	—	4	1	no	—
966	C₂⁵	—	13	1	no	—
967	C₂²×D₄	—	13	1	no	—
968	C₂²×D₄	—	13	1	no	—
969	C₂²×D₄	—	13	1	no	—
970	C₂²×D₄	—	13	1	no	—
971	C₂²×D₄	—	13	1	no	—
972	C₂²×D₄	—	13	1	no	—
973	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
974	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
975	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
976	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
977	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
978	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
979	C₂³×C₄	—	13	1	no	—
980	C₂³×C₄	—	13	1	no	—
981	C₂³×C₄	—	13	1	no	—
982	C₂³×C₄	—	13	1	no	—
983	C₂³×C₄	—	13	1	no	—
984	C₂³×C₄	—	13	1	no	—
985	C₂³×C₄	—	13	1	no	—
986	C₂³×C₄	—	13	1	no	—
987	C₂³×C₄	—	26	4	no	—
988	C₂³×C₄	—	52	2	no	—
989	C₂³×C₄	—	52	2	no	—
990	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
991	#126	—	52	2	no	—
992	#126	—	52	2	no	—
993	#126	—	52	2	no	—
994	#123	—	2	4	no	—
995	#123	—	52	2	no	—
996	#123	—	52	2	no	—
997	#123	—	52	2	no	—
998	#121	—	2	4	no	—
999	#121	—	52	2	no	—
1000	#121	—	52	2	no	—
1001	#121	—	52	2	no	—
1002	#121	—	52	2	no	—
1003	#121	—	52	2	no	—
1004	#120	—	52	2	no	—
1005	#120	—	52	2	no	—
1006	#120	—	52	2	no	—
1007	#117	—	52	2	no	—
1008	#117	—	52	2	no	—
1009	C₂×C₄⋊C₄	—	13	1	no	—
1010	C₂×C₄⋊C₄	—	13	1	no	—
1011	C₂×C₄⋊C₄	—	13	1	no	—
1012	C₂×C₄⋊C₄	—	13	1	no	—
1013	C₂×C₄⋊C₄	—	13	1	no	—
1014	C₂×C₄⋊C₄	—	13	1	no	—
1015	C₂×C₄⋊C₄	—	13	1	no	—
1016	C₂×C₄⋊C₄	—	13	1	no	—
1017	C₂×C₄⋊C₄	—	13	1	no	—
1018	C₂×C₄⋊C₄	—	13	1	no	—
1019	C₂×C₄⋊C₄	—	13	1	no	—
1020	C₂×C₄⋊C₄	—	13	1	no	—
1021	C₂×C₄⋊C₄	—	13	1	no	—
1022	C₂×C₄⋊C₄	—	13	1	no	—
1023	C₂×C₄⋊C₄	—	13	1	no	—
1024	C₂×C₄⋊C₄	—	13	1	no	—
1025	C₂×C₄⋊C₄	—	13	1	no	—
1026	C₂×C₄⋊C₄	—	13	1	no	—
1027	C₂×C₄⋊C₄	—	13	1	no	—
1028	C₂×C₄⋊C₄	—	13	1	no	—
1029	C₂×C₄⋊C₄	—	13	1	no	—
1030	C₂×C₄⋊C₄	—	13	1	no	—
1031	C₂×C₄⋊C₄	—	13	1	no	—
1032	C₂×C₄⋊C₄	—	13	1	no	—
1033	C₂×C₄⋊C₄	—	13	1	no	—
1034	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	—	13	1	no	—
1040	C₂×C₂²⋊C₄	—	13	1	no	—
1041	C₂×C₂²⋊C₄	—	13	1	no	—
1042	C₂×C₂²⋊C₄	—	13	1	no	—
1043	C₂×C₂²⋊C₄	—	13	1	no	—
1044	C₂×C₂²⋊C₄	—	13	1	no	—
1045	C₂×C₂²⋊C₄	—	13	1	no	—
1046	C₂×C₂²⋊C₄	—	13	1	no	—
1047	C₂×C₂²⋊C₄	—	13	1	no	—
1048	C₂×C₂²⋊C₄	—	13	1	no	—
1049	C₂×C₂²⋊C₄	—	13	1	no	—
1050	C₂×C₂²⋊C₄	—	13	1	no	—
1051	C₂×C₂²⋊C₄	—	13	1	no	—
1052	C₂×C₂²⋊C₄	—	13	1	no	—
1053	C₂×C₂²⋊C₄	—	13	1	no	—
1054	C₂×C₂²⋊C₄	—	13	1	no	—
1055	C₂×C₂²⋊C₄	—	13	1	no	—
1056	C₂×C₂²⋊C₄	—	13	1	no	—
1057	C₂×C₂²⋊C₄	—	13	1	no	—
1058	C₂×C₂²⋊C₄	—	13	1	no	—
1059	C₂×C₂²⋊C₄	—	13	1	no	—
1060	C₂×C₂²⋊C₄	—	13	1	no	—
1061	C₂×C₂²⋊C₄	—	13	1	no	—
1062	C₂×C₂²⋊C₄	—	13	1	no	—
1063	C₂×C₂²⋊C₄	—	13	1	no	—
1064	C₂×C₂²⋊C₄	—	13	1	no	—
1065	C₂×C₂²⋊C₄	—	13	1	no	—
1066	C₂×C₂²⋊C₄	—	13	1	no	—
1067	C₂×C₂²⋊C₄	—	13	1	no	—
1068	C₂×C₂²⋊C₄	—	13	1	no	—
1069	C₂×C₂²⋊C₄	—	13	1	no	—
1070	C₂×C₂²⋊C₄	—	13	1	no	—
1071	C₂×C₂²⋊C₄	—	13	1	no	—
1072	C₂×C₂²⋊C₄	—	13	1	no	—
1073	C₂×C₂²⋊C₄	—	13	1	no	—
1074	C₂×C₂²⋊C₄	—	13	1	no	—
1075	C₂×C₂²⋊C₄	—	13	1	no	—
1076	C₂×C₂²⋊C₄	—	13	1	no	—
1077	C₂×C₂²⋊C₄	—	13	1	no	—
1078	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1093	C₂×C₄²	—	13	1	no	—
1094	C₂×C₄²	—	13	1	no	—
1095	C₂×C₄²	—	13	1	no	—
1096	C₂×C₄²	—	13	1	no	—
1097	C₂×C₄²	—	13	1	no	—
1098	C₂×C₄²	—	13	1	no	—
1099	C₂×C₄²	—	13	1	no	—
1100	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1101	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1102	#95	—	13	1	no	—
1103	#95	—	13	1	no	—
1104	#95	—	13	1	no	—
1105	#95	—	13	1	no	—
1106	#95	—	13	1	no	—
1107	#95	—	13	1	no	—
1108	#95	—	13	1	no	—
1109	#95	—	13	1	no	—
1110	#95	—	13	1	no	—
1111	#95	—	13	1	no	—
1112	#95	—	13	1	no	—
1113	#95	—	13	1	no	—
1114	#95	—	13	1	no	—
1115	#95	—	13	1	no	—
1116	#95	—	13	1	no	—
1117	#95	—	13	1	no	—
1118	#95	—	13	1	no	—
1119	#95	—	13	1	no	—
1120	#95	—	13	1	no	—
1121	#95	—	13	1	no	—
1122	#95	—	13	1	no	—
1123	#95	—	13	1	no	—
1124	#95	—	13	1	no	—
1125	#95	—	13	1	no	—
1126	#95	—	13	1	no	—
1127	#95	—	13	1	no	—
1128	#95	—	13	1	no	—
1129	#95	—	13	1	no	—
1130	#95	—	13	1	no	—
1131	#95	—	13	1	no	—
1132	#95	—	13	1	no	—
1133	#95	—	13	1	no	—
1134	#95	—	13	1	no	—
1135	#95	—	13	1	no	—
1136	#95	C₂²×D₁₃	1	1	yes	characteristic
1137	#95	C₂²×D₁₃	1	1	yes	characteristic
1138	#95	C₂²×D₁₃	1	1	yes	characteristic
1139	#95	C₂²×D₁₃	1	1	yes	characteristic
1140	#95	C₂²×D₁₃	1	1	yes	characteristic
1141	#95	C₂²×D₁₃	1	1	yes	characteristic
1142	C₂×C₁₃	—	4	2	no	—
1143	C₂×C₁₃	—	8	1	no	—
1144	C₂×C₁₃	—	8	1	no	—
1145	C₂×C₁₃	—	8	1	no	—
1146	C₂×C₁₃	#3455	1	1	yes	characteristic
1147	C₂×C₁₃	#3490	1	1	yes	characteristic
1148	C₂×C₁₃	#3494	1	1	yes	characteristic
1149	C₂×C₁₃	#3533	1	1	yes	characteristic
1150	C₂×C₁₃	#3534	1	1	yes	characteristic
1151	C₂×C₁₃	#3539	1	1	yes	characteristic
1152	C₂×C₁₃	#3542	1	1	yes	characteristic
1153	D₁₃	—	4	2	no	—
1154	D₁₃	—	4	2	no	—
1155	C₂⁴	—	13	1	no	—
1156	C₂⁴	—	13	1	no	—
1157	C₂⁴	—	26	2	no	—
1158	C₂⁴	—	26	2	no	—
1159	C₂⁴	—	26	2	no	—
1160	C₂⁴	—	52	1	no	—
1161	C₂⁴	—	52	1	no	—
1162	C₂⁴	—	52	1	no	—
1163	C₂⁴	—	52	1	no	—
1164	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1165	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1166	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1167	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1168	C₂×D₄	—	2	2	no	—
1169	C₂×D₄	—	2	2	no	—
1170	C₂×D₄	—	2	2	no	—
1171	C₂×D₄	—	2	2	no	—
1172	C₂×D₄	—	4	1	no	—
1173	C₂×D₄	—	4	1	no	—
1174	C₂×D₄	—	4	1	no	—
1175	C₂×D₄	—	4	1	no	—
1176	C₂×D₄	—	4	1	no	—
1177	C₂×D₄	—	4	1	no	—
1178	C₂×D₄	—	4	1	no	—
1179	C₂×D₄	—	4	1	no	—
1180	C₂×D₄	—	4	1	no	—
1181	C₂×D₄	—	4	1	no	—
1182	C₂×D₄	—	4	1	no	—
1183	C₂×D₄	—	4	1	no	—
1184	C₂×D₄	—	4	1	no	—
1185	C₂×D₄	—	4	1	no	—
1186	C₂×D₄	—	26	2	no	—
1187	C₂×D₄	—	26	2	no	—
1188	C₂×D₄	—	26	2	no	—
1189	C₂×D₄	—	26	2	no	—
1190	C₂×D₄	—	26	2	no	—
1191	C₂×D₄	—	26	2	no	—
1192	C₂×D₄	—	52	1	no	—
1193	C₂×D₄	—	52	1	no	—
1194	C₂×D₄	—	52	1	no	—
1195	C₂×D₄	—	52	1	no	—
1196	C₂×D₄	—	52	1	no	—
1197	C₂×D₄	—	52	1	no	—
1198	C₂×D₄	—	52	1	no	—
1199	C₂×D₄	—	52	1	no	—
1200	C₂×D₄	—	52	1	no	—
1201	C₂×D₄	—	52	1	no	—
1202	C₂×D₄	—	52	1	no	—
1203	C₂×D₄	—	52	1	no	—
1204	C₂²×C₄	—	4	1	no	—
1205	C₂²×C₄	—	4	1	no	—
1206	C₂²×C₄	—	13	1	no	—
1207	C₂²×C₄	—	13	1	no	—
1208	C₂²×C₄	—	13	1	no	—
1209	C₂²×C₄	—	13	1	no	—
1210	C₂²×C₄	—	13	1	no	—
1211	C₂²×C₄	—	13	1	no	—
1212	C₂²×C₄	—	13	1	no	—
1213	C₂²×C₄	—	13	1	no	—
1214	C₂²×C₄	—	13	1	no	—
1215	C₂²×C₄	—	13	1	no	—
1216	C₂²×C₄	—	13	1	no	—
1217	C₂²×C₄	—	13	1	no	—
1218	C₂²×C₄	—	13	1	no	—
1219	C₂²×C₄	—	13	1	no	—
1220	C₂²×C₄	—	26	2	no	—
1221	C₂²×C₄	—	26	2	no	—
1222	C₂²×C₄	—	26	2	no	—
1223	C₂²×C₄	—	26	2	no	—
1224	C₂²×C₄	—	26	2	no	—
1225	C₂²×C₄	—	26	2	no	—
1226	C₂²×C₄	—	26	2	no	—
1227	C₂²×C₄	—	26	2	no	—
1228	C₂²×C₄	—	26	2	no	—
1229	C₂²×C₄	—	26	2	no	—
1230	C₂²×C₄	—	52	1	no	—
1231	C₂²×C₄	—	52	1	no	—
1232	C₂²×C₄	—	52	1	no	—
1233	C₂²×C₄	—	52	1	no	—
1234	C₂²×C₄	—	52	16	no	—
1235	C₂²×C₄	—	52	1	no	—
1236	C₂²×C₄	—	52	1	no	—
1237	C₂²×C₄	—	52	1	no	—
1238	C₂²×C₄	—	52	1	no	—
1239	C₂²×C₄	—	52	1	no	—
1240	C₂²×C₄	—	52	1	no	—
1241	C₂²×C₄	—	52	1	no	—
1242	C₂²×C₄	—	52	1	no	—
1243	C₂²×C₄	—	52	1	no	—
1244	C₂²×C₄	—	52	1	no	—
1245	C₂²×C₄	#6129	1	4	yes	—
1246	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1247	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1248	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1249	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1253	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1254	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1255	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1256	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1257	C₄⋊C₄	—	2	2	no	—
1258	C₄⋊C₄	—	2	2	no	—
1259	C₄⋊C₄	—	2	2	no	—
1260	C₄⋊C₄	—	4	1	no	—
1261	C₄⋊C₄	—	4	1	no	—
1262	C₄⋊C₄	—	26	2	no	—
1263	C₄⋊C₄	—	26	2	no	—
1264	C₄⋊C₄	—	26	2	no	—
1265	C₄⋊C₄	—	52	1	no	—
1266	C₄⋊C₄	—	52	1	no	—
1267	C₄⋊C₄	—	52	1	no	—
1268	C₄⋊C₄	—	52	1	no	—
1269	C₄⋊C₄	—	52	1	no	—
1270	C₄⋊C₄	—	52	1	no	—
1271	C₄⋊C₄	—	52	1	no	—
1272	C₄⋊C₄	—	52	1	no	—
1273	C₄⋊C₄	—	52	1	no	—
1274	C₄⋊C₄	—	52	1	no	—
1275	C₄⋊C₄	—	52	1	no	—
1276	C₄⋊C₄	—	52	1	no	—
1277	C₄⋊C₄	—	52	1	no	—
1278	C₄⋊C₄	—	52	1	no	—
1279	C₄⋊C₄	—	52	1	no	—
1280	C₄⋊C₄	—	52	1	no	—
1281	C₄⋊C₄	—	52	1	no	—
1282	C₄⋊C₄	—	52	1	no	—
1283	C₄⋊C₄	—	52	1	no	—
1284	C₄⋊C₄	—	52	1	no	—
1285	C₄⋊C₄	—	52	1	no	—
1286	C₄⋊C₄	—	52	1	no	—
1287	C₂²⋊C₄	—	2	2	no	—
1288	C₂²⋊C₄	—	2	2	no	—
1289	C₂²⋊C₄	—	2	2	no	—
1290	C₂²⋊C₄	—	2	2	no	—
1291	C₂²⋊C₄	—	2	2	no	—
1292	C₂²⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	—	4	1	no	—
1294	C₂²⋊C₄	—	4	1	no	—
1295	C₂²⋊C₄	—	4	1	no	—
1296	C₂²⋊C₄	—	4	1	no	—
1297	C₂²⋊C₄	—	4	1	no	—
1298	C₂²⋊C₄	—	4	1	no	—
1299	C₂²⋊C₄	—	4	1	no	—
1300	C₂²⋊C₄	—	4	1	no	—
1301	C₂²⋊C₄	—	4	1	no	—
1302	C₂²⋊C₄	—	26	2	no	—
1303	C₂²⋊C₄	—	26	2	no	—
1304	C₂²⋊C₄	—	26	2	no	—
1305	C₂²⋊C₄	—	26	2	no	—
1306	C₂²⋊C₄	—	26	2	no	—
1307	C₂²⋊C₄	—	26	2	no	—
1308	C₂²⋊C₄	—	26	2	no	—
1309	C₂²⋊C₄	—	26	2	no	—
1310	C₂²⋊C₄	—	26	2	no	—
1311	C₂²⋊C₄	—	26	2	no	—
1312	C₂²⋊C₄	—	26	2	no	—
1313	C₂²⋊C₄	—	52	1	no	—
1314	C₂²⋊C₄	—	52	1	no	—
1315	C₂²⋊C₄	—	52	1	no	—
1316	C₂²⋊C₄	—	52	1	no	—
1317	C₂²⋊C₄	—	52	1	no	—
1318	C₂²⋊C₄	—	52	1	no	—
1319	C₂²⋊C₄	—	52	1	no	—
1320	C₂²⋊C₄	—	52	1	no	—
1321	C₂²⋊C₄	—	52	1	no	—
1322	C₂²⋊C₄	—	52	1	no	—
1323	C₂²⋊C₄	—	52	1	no	—
1324	C₂²⋊C₄	—	52	1	no	—
1325	C₂²⋊C₄	—	52	1	no	—
1326	C₂²⋊C₄	—	52	1	no	—
1327	C₂²⋊C₄	—	52	1	no	—
1328	C₂²⋊C₄	—	52	1	no	—
1329	C₂²⋊C₄	—	52	1	no	—
1330	C₂²⋊C₄	—	52	1	no	—
1331	C₂²⋊C₄	—	52	1	no	—
1332	C₂²⋊C₄	—	52	1	no	—
1333	C₂²⋊C₄	—	52	1	no	—
1334	C₂²⋊C₄	—	52	1	no	—
1335	C₂²⋊C₄	—	52	1	no	—
1336	C₂²⋊C₄	—	52	1	no	—
1337	C₂²⋊C₄	—	52	1	no	—
1338	C₂²⋊C₄	—	52	1	no	—
1339	C₂²⋊C₄	—	52	1	no	—
1340	C₂²⋊C₄	—	52	1	no	—
1341	C₄²	—	4	1	no	—
1342	C₄²	—	4	1	no	—
1343	C₄²	—	52	1	no	—
1344	C₄²	—	52	1	no	—
1345	C₄²	—	52	1	no	—
1346	C₄²	—	52	1	no	—
1347	C₄²	—	52	1	no	—
1348	C₄²	—	52	1	no	—
1349	C₄²	—	52	1	no	—
1350	C₁₃	#36734	1	1	yes	characteristic, complemented, Sylow
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	13	2	no	—
1379	C₂³	—	13	2	no	—
1380	C₂³	—	26	1	no	—
1381	C₂³	—	26	1	no	—
1382	C₂³	—	26	1	no	—
1383	C₂³	—	26	1	no	—
1384	C₂³	—	26	1	no	—
1385	C₂³	—	26	1	no	—
1386	C₂³	—	26	1	no	—
1387	C₂³	—	26	1	no	—
1388	C₂³	—	26	1	no	—
1389	C₂³	—	26	1	no	—
1390	C₂³	—	26	1	no	—
1391	C₂³	—	26	1	no	—
1392	C₂³	—	52	4	no	—
1393	C₂³	—	52	4	no	—
1394	C₂³	—	52	4	no	—
1395	C₂³	—	52	4	no	—
1396	C₂³	—	52	4	no	—
1397	C₂³	—	52	4	no	—
1398	C₂³	—	52	4	no	—
1399	C₂³	C₂×#6129	1	2	yes	—
1400	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1401	D₄	—	8	2	no	—
1402	D₄	—	8	2	no	—
1403	D₄	—	8	2	no	—
1404	D₄	—	8	2	no	—
1405	D₄	—	8	2	no	—
1406	D₄	—	8	2	no	—
1407	D₄	—	104	2	no	—
1408	D₄	—	104	2	no	—
1409	D₄	—	104	2	no	—
1410	D₄	—	104	2	no	—
1411	D₄	—	104	2	no	—
1412	D₄	—	104	2	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	4	4	no	—
1445	C₂×C₄	—	13	2	no	—
1446	C₂×C₄	—	26	8	no	—
1447	C₂×C₄	—	26	1	no	—
1448	C₂×C₄	—	26	1	no	—
1449	C₂×C₄	—	26	1	no	—
1450	C₂×C₄	—	26	1	no	—
1451	C₂×C₄	—	26	1	no	—
1452	C₂×C₄	—	26	1	no	—
1453	C₂×C₄	—	26	1	no	—
1454	C₂×C₄	—	26	1	no	—
1455	C₂×C₄	—	26	1	no	—
1456	C₂×C₄	—	26	1	no	—
1457	C₂×C₄	—	26	1	no	—
1458	C₂×C₄	—	26	1	no	—
1459	C₂×C₄	—	26	1	no	—
1460	C₂×C₄	—	26	1	no	—
1461	C₂×C₄	—	26	1	no	—
1462	C₂×C₄	—	26	1	no	—
1463	C₂×C₄	—	26	1	no	—
1464	C₂×C₄	—	26	1	no	—
1465	C₂×C₄	—	26	1	no	—
1466	C₂×C₄	—	26	1	no	—
1467	C₂×C₄	—	26	1	no	—
1468	C₂×C₄	—	26	1	no	—
1469	C₂×C₄	—	26	1	no	—
1470	C₂×C₄	—	26	1	no	—
1471	C₂×C₄	—	26	1	no	—
1472	C₂×C₄	—	26	1	no	—
1473	C₂×C₄	—	26	1	no	—
1474	C₂×C₄	—	26	1	no	—
1475	C₂×C₄	—	26	1	no	—
1476	C₂×C₄	—	26	1	no	—
1477	C₂×C₄	—	26	1	no	—
1478	C₂×C₄	—	26	1	no	—
1479	C₂×C₄	—	26	1	no	—
1480	C₂×C₄	—	26	1	no	—
1481	C₂×C₄	—	26	1	no	—
1482	C₂×C₄	—	26	1	no	—
1483	C₂×C₄	—	26	1	no	—
1484	C₂×C₄	—	26	1	no	—
1485	C₂×C₄	—	26	1	no	—
1486	C₂×C₄	—	26	1	no	—
1487	C₂×C₄	—	26	1	no	—
1488	C₂×C₄	—	52	4	no	—
1489	C₂×C₄	—	52	4	no	—
1490	C₂×C₄	—	52	4	no	—
1491	C₂×C₄	—	52	4	no	—
1492	C₂×C₄	—	104	2	no	—
1493	C₂×C₄	—	104	2	no	—
1494	C₂×C₄	—	104	2	no	—
1495	C₂×C₄	C₂×#6129	1	2	yes	—
1496	C₂×C₄	C₂×#6129	1	2	yes	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	4	1	no	—
1501	C₂²	—	4	1	no	—
1502	C₂²	—	4	1	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	4	1	no	—
1522	C₂²	—	4	1	no	—
1523	C₂²	—	4	1	no	—
1524	C₂²	—	4	1	no	—
1525	C₂²	—	26	2	no	—
1526	C₂²	—	26	2	no	—
1527	C₂²	—	26	2	no	—
1528	C₂²	—	26	2	no	—
1529	C₂²	—	26	2	no	—
1530	C₂²	—	26	2	no	—
1531	C₂²	—	52	16	no	—
1532	C₂²	—	52	1	no	—
1533	C₂²	—	52	1	no	—
1534	C₂²	—	52	1	no	—
1535	C₂²	—	52	1	no	—
1536	C₂²	—	52	1	no	—
1537	C₂²	—	52	1	no	—
1538	C₂²	—	52	1	no	—
1539	C₂²	—	52	1	no	—
1540	C₂²	C₂²×#6129	1	1	yes	characteristic
1541	C₂²	#11719648	1	1	yes	characteristic
1542	C₂²	#11719648	1	1	yes	characteristic
1543	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1544	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1545	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1546	C₂²	#11719650	1	1	yes	characteristic
1547	C₄	—	2	2	no	—
1548	C₄	—	2	2	no	—
1549	C₄	—	4	1	no	—
1550	C₄	—	4	1	no	—
1551	C₄	—	4	1	no	—
1552	C₄	—	4	1	no	—
1553	C₄	—	4	1	no	—
1554	C₄	—	4	1	no	—
1555	C₄	—	4	1	no	—
1556	C₄	—	4	1	no	—
1557	C₄	—	4	1	no	—
1558	C₄	—	26	2	no	—
1559	C₄	—	52	1	no	—
1560	C₄	—	52	1	no	—
1561	C₄	—	52	1	no	—
1562	C₄	—	52	1	no	—
1563	C₄	—	52	1	no	—
1564	C₄	—	52	1	no	—
1565	C₄	—	52	1	no	—
1566	C₄	—	52	1	no	—
1567	C₄	—	52	1	no	—
1568	C₄	—	52	1	no	—
1569	C₄	—	52	1	no	—
1570	C₄	—	52	1	no	—
1571	C₄	—	52	1	no	—
1572	C₂	—	4	2	no	—
1573	C₂	—	8	1	no	—
1574	C₂	—	8	1	no	—
1575	C₂	—	8	1	no	—
1576	C₂	—	52	2	no	—
1577	C₂	—	52	2	no	—
1578	C₂	#13128225	1	1	yes	characteristic
1579	C₂	#13128524	1	1	yes	characteristic
1580	C₂	#13128568	1	1	yes	characteristic
1581	C₂	#13128996	1	1	yes	characteristic
1582	C₂	#13129025	1	1	yes	characteristic
1583	C₂	#13129088	1	1	yes	characteristic
1584	C₂	#13129151	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2661	C₂
hypercenter	#2661	D₁₃
hypocenter	C₁₃	#36734
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2661

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #13123125	C₂	semidirect
2. #13123115	C₂	semidirect
3. #13122027	C₂	semidirect
4. #13122022	C₂	semidirect
5. #13121997	C₂	semidirect
6. #13121977	C₂	semidirect
7. #13121953	C₂	semidirect
8. #13121747	C₂	semidirect
9. #13121531	C₂	semidirect
10. #13121516	C₂	semidirect
11. #13121456	C₂	semidirect
12. #13121426	C₂	semidirect
13. #13121316	C₂	semidirect
14. #13121232	C₂	semidirect
15. #13121226	C₂	semidirect
16. #13121154	C₂	semidirect
17. #13121074	C₂	semidirect
18. #13121038	C₂	semidirect
19. #13121030	C₂	semidirect
20. #13120362	C₂	semidirect
21. #13120145	C₂	semidirect
22. #13119970	C₂	semidirect
23. #13119970	C₂	semidirect
24. #13119072	C₂	semidirect
25. #13119027	C₂	semidirect
26. #13118952	C₂	semidirect
27. #13118937	C₂	semidirect
28. #13117630	C₂	semidirect
29. #13117603	C₂	semidirect
30. #13117217	C₂	semidirect
31. C₁₃×#2661	C₂	semidirect
44. C₂×#88189	C₂²	semidirect
48. C₂×#88133	C₂²	semidirect
51. C₁₃×#398	C₂²	semidirect
52. C₁₃×#397	C₂²	semidirect
55. C₁₃×#394	C₂²	semidirect
58. C₁₃×#392	C₂²	semidirect
59. C₁₃×#390	C₂²	semidirect
60. C₁₃×#390	C₂²	semidirect
61. C₁₃×#388	C₂²	semidirect
62. C₁₃×#388	C₂²	semidirect
65. #11718883	C₂²	semidirect
66. #11718883	C₂²	semidirect
67. #11718883	C₂²	semidirect
76. #11718881	C₂²	semidirect
77. #11718881	C₂²	semidirect
89. #11718646	C₂²	semidirect
90. #11718644	C₂²	semidirect
91. #11718643	C₂²	semidirect
92. #11718643	C₂²	semidirect
93. #11718642	C₂²	semidirect
94. #11718642	C₂²	semidirect
95. #11718642	C₂²	semidirect
96. #11718642	C₂²	semidirect
97. #11718639	C₂²	semidirect
98. C₄⋊C₄×Dic₁₃	C₂²	semidirect
125. #11718613	C₂²	semidirect
126. #11718613	C₂²	semidirect
129. #11718612	C₂²	semidirect
130. #11718612	C₂²	semidirect
131. #11718612	C₂²	semidirect
132. #11718612	C₂²	semidirect
133. #11718612	C₂²	semidirect
134. #11718612	C₂²	semidirect
135. #11718611	C₂²	semidirect
136. #11718611	C₂²	semidirect
137. #11718611	C₂²	semidirect
140. #11718610	C₂²	semidirect
141. #11718610	C₂²	semidirect
144. #11718609	C₂²	semidirect
145. #11718609	C₂²	semidirect
146. #11718607	C₂²	semidirect
147. #11718607	C₂²	semidirect
148. #11718605	C₂²	semidirect
149. #11718605	C₂²	semidirect
151. #11718604	C₂²	semidirect
154. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
155. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
156. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
159. #11718594	C₂²	semidirect
160. #11718594	C₂²	semidirect
161. #11718589	C₂²	semidirect
162. #11718589	C₂²	semidirect
175. C₁₃⋊#401	C₂²	semidirect
176. #11718322	C₂²	semidirect
177. #11718322	C₂²	semidirect
178. #11718321	C₂²	semidirect
179. #11718320	C₂²	semidirect
180. #11718318	C₂²	semidirect
181. #11718318	C₂²	semidirect
182. #11718318	C₂²	semidirect
183. #11718316	C₂²	semidirect
184. #11718314	C₂²	semidirect
185. #11718311	C₂²	semidirect
186. #11718308	C₂²	semidirect
578. #2661	D₁₃	semidirect
771. #398	C₂×D₁₃	semidirect
777. #397	C₂×D₁₃	semidirect
798. #394	C₂×D₁₃	semidirect
802. #392	C₂×D₁₃	semidirect
809. #390	C₂×D₁₃	semidirect
810. #390	C₂×D₁₃	semidirect
830. #388	C₂×D₁₃	semidirect
831. #388	C₂×D₁₃	semidirect
1350. C₁₃	#36734	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#13123125	2
#13123115	2
#13122027	2
#13122022	2
#13121997	2
#13121977	2
#13121953	2
#13121747	2
#13121531	2
#13121516	2
#13121456	2
#13121426	2
#13121316	2
#13121232	2
#13121226	2
#13121154	2
#13121074	2
#13121038	2
#13121030	2
#13120362	2
#13120145	2
#13119970	2
#13119072	2
#13119027	2
#13118952	2
#13118937	2
#13117630	2
#13117603	2
#13117217	2
C₁₃×#2661	2
#36734	13